Three-dimensional logical cube

ABSTRACT

A three-dimensional logical cube has 6 faces in the same configuration of Rubik&#39;s Cube (trademark). A three-dimensional logical cube has an N×N array of cells on each face. Each cell on a three-dimensional logical cube has a numerical value, solid and hollow dots, solid dots, or shapes, on it. A 2×2×2 cube has four numbers from 1 to 4 on its face; a 2×2×2 cube has two solid dots and two hollow dots with the same color on its face (2×2×2 alternate embodiment); a 2×2×2 cube has 1 dot to 4 dots on its cell (2×2×2 alternate embodiment); a 2×2×2 cube have same kind of shape on its face (2×2×2 alternate embodiment); a 3×3×3 cube has nine combination numbers between 1 to 12 on its face; a 3×3×3 cube has nine numbers from 1 to 9 on its face (3×3×3 alternate embodiment); a 3×3×3 cube has either a blank cell or a dot on its face (3×3×3 alternate embodiment); a 3×3×3 cube have same kind of shape on its face (3×3×3 alternate embodiment); a 4×4×4 cube has sixteen numbers from 1 to 16 on its face; and a 5×5×5 cube has twenty-five numbers from 1 to 25 on its face; The present three-dimensional logical cube when successfully solved, for numerical cell cubes, all six faces, and nine rows (six rows for 3×3×3 cubes) of adjacent cells located on four adjacent faces (two adjacent faces for 2×2×2 cube and three adjacent faces for 3×3×3 alternate embodiment) will have difference numerical numbers on its cell (no two numbers are alike); for shape cube, all six faces will have same shape for each cell on the same face; for solid and hollow dot cube, any faces will have the two solid dots and two hollow dots on its for all six faces; for solid only dot cube (3×3×3), any two opposite faces will have total of seven dots for all six faces; and solid only dot (2×2×2), each cell on the same face has 1 dot, 2 dots, 3 dots and 4 dots for all six faces, and four adjacent cells located around two faces will have 1 dot, 2 dots, 3 dots and 4 dots on its cell. The present three-dimensional logical cube is more challenging than the Rubik&#39;s Cube (trademark) with 2×2×2 the simplest logical cube to 3×3×3 challenge, 4×4×4 more challenge, and 5×5×5 which is the most challenge logical cube to solve.

BACKGROUND OF THE INVENTION

Over the years, various types of puzzles have been developed for the purpose of providing amusement and entertainment. One such amusement device has been the manipulative puzzle in which various puzzle pieces are manipulated to solve the puzzle to its desired pattern.

One of the well known manipulable puzzles is the Rubik's Cube (trademark), a 3×3×3 puzzle cube comprising of 26 cubic elements and is connected together by a central element. It has 9 square cells on each side, for a total area of 54 cells. Each cubic element has one, two or three exposed cells. The puzzle pieces are manipulated to restore the mix color pattern to its original color. When the puzzle is solved, each side of the cube has a same color.

The internal rotating structure for the 2×2×2 cube and 3×3×3 cube is described by reference to Rubik's Cube (trademark).

Furthermore, the internal rotating structure for the 4×4×4, 5×5×5 or higher order arrays are described by Puzzle Cube, in U.S. Pat. No. 4,540,177 and Three Dimensional Puzzle, in U.S. Pat. No. 4,600,199 which disclose the underlying structure of the rotating element, respectively.

The Rubik's Cube has been a popular puzzle cube. However, the Rubik's Cube is plain only color on each side and is not challenge to solve. The preferred present invention is more interesting and challenging logical cubes with various levels of difficulty and challenge.

The present preferred inventions not only provide logical thinking, but also challenging one to use numerical, dot and shape recognition and memorization to solve the logical cube puzzle.

SUMMARY OF THE INVENTION

The invention is a three-dimensional logical cube has 6 faces and an N×N array of cells on each face. Each cell on a three-dimensional logical cube has a numerical value on it for 2×2×2 cube, 3×3×3 cube, 4×4×4 cube and 5×5×5, and solid and hollow dots, solid dots, or shapes, on it for 2×2×2 cube and solid dots, or shapes 3×3×3 cube.

The internal rotating element structure for the 2×2×2 and 3×3×3 cubes can be rotated the same manner as Rubik's Cube (Trademark), 4×4×4 internal rotating element structure in Puzzle Cube in U.S. Pat. No. 4,540,177, and 5×5×5 internal rotating element structure in Three Dimensional Puzzle in U.S. Pat. No. 4,600,199.

The invention of the preferred embodiments are a 2×2×2 cube comprising of 8 rotatable elements connected to central elements, a 3×3×3 cube comprising of 26 rotatable elements connected to central elements, a 4×4×4 cube comprising of 56 rotatable elements connected to central elements, and a 5×5×5 cube comprising of 98 rotatable elements connected to central elements. All central elements are not visible from outside the cube.

It is objective of the present invention to provide a 2×2×2 cube with: 2×2 array comprises 2 rows and 2 columns of cells for a total of 4 square cells, 8 rotatable elements, and 24 rotatable square cells. The 2×2×2 cube when successfully solved, the numerical value on each face will have different number for all six faces, and the numerical value on each row around two faces will have different number.

It is another objective of the present invention to provide a 2×2×2 alternate embodiment cube (solid and hollow dot cube cell), when successfully solved, any one face will have same color for two solid dots and two hollow dots on its face, six faces on a cube will have six difference colors for solid dots and hollow dots.

It is another objective of the present invention to provide a 2×2×2 alternate embodiment cube (dot cube cell), The 2×2×2 cube when successfully solved, each cell on the same face has 1 dot, 2 dots, 3 dots and 4 dots for all six faces, and four adjacent cells located around two faces will have 1 dot, 2 dots, 3 dots and 4 dots on its cell.

It is another objective of the present invention to provide a 2×2×2 alternate embodiment cube (shape cube cell), when successfully solved, the shape on each cell on the same face will be the same for all six faces.

It is another objective of the present invention to provide a 3×3×3 cube with: 3×3 array comprises 3 rows and 3 columns of cells for a total of 9 square cells, 26 rotatable elements, and 54 rotatable square cells. The 3×3×3 cube when successfully solved, the numerical value on each face will have different number for all six faces, and the numerical value on each row around all faces will have different number for six of nine rows.

It is another objective of the present invention to provide a 3×3×3 alternate embodiment cube with: 3×3 array comprises 3 rows and 3 columns of cells for a total of 9 square cells, 26 rotatable elements, and 54 rotatable square cells. The 3×3×3 cube when successfully solved, the numerical value on each face will have different number for all six faces and the numerical value on each row around three faces will have different number for six of nine rows.

It is another objective of the present invention to provide a 3×3×3 alternate embodiment cube (dot cube cell), when successfully solved, any two opposite faces will have total of seven dots for all six faces.

It is another objective of the present invention to provide a 3×3×3 alternate embodiment cube (shape cube cell), when successfully solved, the shape on each cell on the same face will be the same for all six faces.

It is another objective of the present invention to provide a 4×4×4 cube with: 4×4 array comprises 4 rows and 4 columns of cells for a total of 16 square cells, 56 rotatable elements, and 96 rotatable square cells. The 4×4×4 cube when successfully solved, the numerical value on each face will have different number for all six faces, and the numerical value on each row around all faces will have different number.

It is another objective of the present invention to provide a 5×5×5 cube with: 5×5 array comprises 5 rows and 5 columns of cells for a total of 25 square cells, 98 rotatable elements, and 150 rotatable square cells. The 5×5×5 cube when successfully solved, the numerical value on each face will have different number for all six faces, and the numerical value on each row around all faces will have different number.

These objectives will be clear from the following brief and detailed of the description of the invention.

BRIEF DESCRIPTION OF THE DRAWINGS

The drawings illustrated in the invention are presently preferred; however the invention is not limited to the precise arrangement as shown in the drawings.

FIG. 1 a solved 2×2×2 logic cube with top and front isometric views of a preferred embodiment of the present invention.

FIG. 2 a solved 2×2×2 logic cube with bottom and back isometric views of a preferred embodiment of the present invention.

FIG. 3 a schematic view of a solved 2×2×2 logic cube preferred embodiment of the present invention.

FIG. 4 a solved 3×3×3 logic cube with top and front isometric views of a preferred embodiment of the present invention.

FIG. 5 a solved 3×3×3 logic cube with bottom and back isometric views of a preferred embodiment of the present invention.

FIG. 6 a schematic view of a solved 3×3×3 logic cube preferred embodiment of the present invention.

FIG. 7 a solved 3×3×3 logic cube with top and front isometric views of an alternate preferred embodiment of the present invention.

FIG. 8 a solved 3×3×3 logic cube with bottom and back isometric views of an alternate preferred embodiment of the present invention.

FIG. 9 a schematic view of a solved 3×3×3 logic cube of an alternate preferred embodiment of the present invention.

FIG. 10 a solved 4×4×4 logic cube with top and front isometric views of a preferred embodiment of the present invention.

FIG. 11 a solved 4×4×4 logic cube with bottom and back isometric views of a preferred embodiment of the present invention.

FIG. 12 a schematic view of a 4×4×4 logic cube preferred embodiment of the present invention.

FIG. 13 a solved 5×5×5 logic cube with top and front isometric views of a preferred embodiment of the present invention.

FIG. 14 a solved 5×5×5 logic cube with bottom and back isometric views of a preferred embodiment of the present invention.

FIG. 15 a schematic view of a 5×5×5 logic cube preferred embodiment of the present invention.

FIG. 16 a solved 2×2×2 logic cube with top and front isometric views of another alternate preferred embodiment of the present invention (solid and hollow dot cube cell).

FIG. 17 a solved 2×2×2 logic cube with bottom and back isometric views of another alternate preferred embodiment of the present invention (solid and hollow dot cube cell).

FIG. 18 a schematic view of a solved 2×2×2 logic cube of another alternate preferred embodiment of the present invention (solid and hollow dot cube cell).

FIG. 19 a solved 2×2×2 logic cube with top and front isometric views of another alternate preferred embodiment of the present invention (dot cube cell).

FIG. 20 a solved 2×2×2 logic cube with bottom and back isometric views of another alternate preferred embodiment of the present invention (dot cube cell).

FIG. 21 a schematic view of a solved 2×2×2 logic cube of another alternate preferred embodiment of the present invention (dot cube cell).

FIG. 22 a solved 2×2×2 logic cube with top and front isometric views of another alternate preferred embodiment of the present invention (shape cube cell).

FIG. 23 a solved 2×2×2 logic cube with bottom and back isometric views of another alternate preferred embodiment of the present invention (shape cube cell).

FIG. 24 a schematic view of a solved 2×2×2 logic cube of another alternate preferred embodiment of the present invention (shape cube cell).

FIG. 25 a solved 3×3×3 logic cube with top and front isometric views of another alternate preferred embodiment of the present invention (dot cube cell).

FIG. 26 a solved 3×3×3 logic cube with bottom and back isometric views of another alternate preferred embodiment of the present invention (dot cube cell).

FIG. 27 a schematic view of a solved 3×3×3 logic cube of another alternate preferred embodiment of the present invention (dot cube cell).

FIG. 28 a solved 3×3×3 logic cube with top and front isometric views of another alternate preferred embodiment of the present invention (shape cube cell).

FIG. 29 a solved 3×3×3 logic cube with bottom and back isometric views of another alternate preferred embodiment of the present invention (shape cube cell).

FIG. 30 a schematic view of a solved 3×3×3 logic cube of another alternate preferred embodiment of the present invention (shape cube cell).

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

FIG. 1 is illustrated a 2×2×2 logic cube 1 with an isometric top face view 2, an isometric front-right face view 3, and an isometric front-left face view 4. The specific number on each cell on the FIG. 1 is shown in TABLE I which illustrates the particular cells located on specific rows.

TABLE I ROW 11A 12A 13A 14A 15A 16A 11B 12B 13B 14B 15B 16B (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 2 1 3 4 4 1 3 2 1 3 2 4 4 3 2 1 3 2 1 4 4 2 1 3

FIG. 2 is illustrated a 2×2×2 logic cube 1 with an isometric bottom face view 5, an isometric back-left face view 6, and an isometric back-right face view 7. The specific number on each cell on the FIG. 2 is shown in TABLE II which illustrates the particular cells located on specific rows.

TABLE II ROW 11C 12C 13C 14C 15C 16C 11D 12D 13D 14D 15D 16D (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 4 3 2 1 3 2 1 4 4 2 1 3 2 1 3 4 4 1 3 2 1 3 2 4

FIG. 3 is schematic view of a 2×2×2 logic cube 1, unfold to show all six faces view: top face view 2, front-right face view 3, front-left face view 4, bottom face view 5, back-left face view 6, and back-right face view 7.

A 2×2×2 solved logic cube is shown in FIG. 1, FIG. 2, TABLE III, and TABLE IV which illustrates that four adjacent cells located on the adjacent faces will have number 1, 2, 3, 4 (no two numbers are alike).

TABLE III ROW 11A & 11A & 11B & 11C & 12A & 12A & 12B & 12C & 13A & 13A & 13B & 13C & 11B 11D 11C 11D 12B 12D 12C 12D 13B 13D 13C 13D (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 2 2 3 4 1 1 2 3 3 3 1 2 4 4 1 2 3 3 4 1 2 2 4 3 3 1 4 1 2 4 3 4 1 4 2 4 1 3 2 3 4 2 1 2 4 1 3 1

TABLE IV ROW 14A & 14A & 14B & 14C & 15A & 15A & 15B & 15C & 16A & 16A & 16B & 16C & 14B 14D 14C 14D 15B 15D 15C 15D 16B 16D 16C 16D (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 4 4 3 1 4 4 2 3 1 1 4 2 1 1 2 4 3 3 1 4 2 2 3 1 3 2 1 2 2 1 3 1 4 3 2 3 2 3 4 3 1 2 4 2 3 4 1 4

FIG. 4 is illustrated a 3×3×3 logic cube 21 with an isometric top face view 22, an isometric front-right face view 23, and an isometric front-left face view 24. The specific number on each cell on the FIG. 4 is shown in TABLE V which illustrates the particular cells located on specific rows.

TABLE V ROW 31A 32A 33A 31B 32B 33B 34A 35A 36A 34B 35B 36B (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 1 2 3 2 3 1 11 2 4 1 11 8 11 12 10 4 5 6 10 1 6 2 12 7 8 7 9 12 10 11 12 3 5 3 10 9

FIG. 5 is illustrated a 3×3×3 logic cube 21 with an isometric bottom face view 25, an isometric back-left face view 26, and an isometric back-right face view 27. The specific number on each cell on the FIG. 5 is shown in TABLE VI which illustrates the particular cells located on specific rows.

TABLE VI ROW 31C 32C 33C 31D 32D 33D 34C 35C 36C 34D 35D 36D (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 10 11 12 3 4 5 7 4 12 6 9 1 5 6 4 6 1 2 8 6 11 5 8 2 9 8 7 7 9 8 9 5 10 4 7 3

FIG. 6 is schematic view of a 3×3×3 logic cube 21, unfold to show all six faces view: top face view 22, front-right face view 23, front-left face view 24, bottom face view 25, back-left face view 26, and back-right face view 27.

3×3×3 solved logic cube is shown in FIG. 4, FIG. 5 and TABLE VII which illustrates that twelve adjacent cells located on the adjacent four faces on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 (no two numbers are alike) for six of nine rows.

TABLE VII ROW 31A, 31B, 32A, 32B, 33A, 33B, 34A, 34B, 35A, 35B, 36A, 36B, 31C & 31D 32C & 32D 33C & 33D 34C & 34D 35C & 35D 36C & 36D (#) (#) (#) (#) (#) (#) 1 2 3 11 2 4 11 12 10 10 1 6 8 7 9 12 3 5 12 10 11 3 10 9 4 5 6 2 12 7 2 3 1 1 11 8 10 11 12 7 4 12 5 6 4 8 6 11 9 8 7 9 5 10 7 9 8 4 7 3 6 1 2 5 8 2 3 4 5 6 9 1

FIG. 7 is illustrated an alternate embodiment 3×3×3 logic cube 41 with an isometric top face view 42, an isometric front-right face view 43, and an isometric front-left face view 44. The specific number on each cell on the FIG. 7 is shown in TABLE VIII which illustrates the particular cells located on specific rows.

TABLE VIII ROW 51A 52A 53A 51B 52B 53B 54A 55A 56A (#) (#) (#) (#) (#) (#) (#) (#) (#) 7 1 2 4 2 1 4 5 9 8 6 3 5 3 9 3 6 8 9 5 4 6 7 8 2 1 7

FIG. 8 is illustrated an alternate embodiment 3×3×3 logic cube 41 with an isometric bottom face view 45, an isometric back-left face view 46, and an isometric back-right face view 47. The specific number on each cell on the FIG. 8 is shown in TABLE IX which illustrates the particular cells located on specific rows.

TABLE IX ROW 51C 52C 53C 54B 55B 56B 54C 55C 56C (#) (#) (#) (#) (#) (#) (#) (#) (#) 3 4 5 8 7 6 7 8 1 2 9 6 9 3 5 6 9 2 1 8 7 1 2 4 5 4 3

FIG. 9 is schematic view of an alternate embodiment of 3×3×3 logic cube 41, unfold to show all six faces view: top face view 42, front-right face view 43, front-left face view 44, bottom face view 45, back-left face view 46, and back-right face view 47.

An alternate embodiment 3×3×3 solved logic cube is shown in FIG. 7, FIG. 8 and TABLE X which illustrates that nine adjacent cells located on the adjacent three faces on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9 (no two numbers are alike) for six of nine rows.

TABLE X ROW 51A, 51B, 52A, 52B, 53A, 53B, 54A, 54B, 55A, 55B, 56A, 56B, & 51C & 52C & 53C & 54C & 55C & 56C (#) (#) (#) (#) (#) (#) 7 1 2 2 1 7 8 6 3 3 6 8 9 5 4 4 5 9 6 7 8 8 7 6 5 3 9 9 3 5 4 2 1 1 2 4 3 4 5 5 4 3 2 9 6 6 9 2 1 8 7 7 8 1

FIG. 10 is illustrated a 4×4×4 logic cube 61 with an isometric top face view 62, an isometric front-right face view 63, and an isometric front-left face view 64. The specific number on each cell on the FIG. 10 is shown in TABLE XI which illustrates the particular cells located on specific rows.

TABLE XI ROW 71A 72A 73A 74A 75A 76A 77A 78A 79A 80A 81A 82A (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 7 5 3 1 12 10 16 14 14 13 2 1 8 6 4 2 11 9 15 13 16 15 4 3 15 13 11 9 8 6 4 2 10 9 6 5 16 14 12 10 7 5 3 1 12 11 8 7 3 1 15 13 13 14 5 6 1 2 9 10 4 2 16 14 15 16 7 8 3 4 11 12 11 9 7 5 1 2 9 10 5 6 13 14 12 10 8 6 3 4 11 12 7 8 15 16

FIG. 11 is illustrated a 4×4×4 logic cube 61 with an isometric bottom face view 65, an isometric back-left face view 66, and an isometric back-right face view 67. The specific number on each cell on the FIG. 11 is shown in TABLE XII which illustrates the particular cells located on specific rows.

TABLE XII ROW 71B 72B 73B 74B 75B 76B 77B 78B 79B 80B 81B 82B (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 2 4 14 16 16 15 8 7 4 3 12 11 1 3 13 15 14 13 6 5 2 1 10 9 10 12 6 8 4 3 12 11 8 7 16 15 9 11 5 7 2 1 10 9 6 5 14 13 6 8 2 4 9 11 13 15 15 16 3 4 5 7 1 3 10 12 14 16 13 14 1 2 14 16 10 12 5 7 1 3 11 12 7 8 13 15 9 11 6 8 2 4 9 10 5 6

FIG. 12 is schematic view of a 4×4×4 logic cube 61, unfold to show all six faces view: top face view 62, front-right face view 63, front-left face view 64, bottom face view 65, back-left face view 66, and back-right face view 67.

A 4×4×4 solved logic cube is shown in FIG. 10, FIG. 11, and TABLE XIII which illustrates that adjacent cells located on the adjacent rows will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (no two numbers are alike) for all twelve rows.

TABLE XIII ROW 71A & 72A & 73A & 74A & 75A & 76A & 77A & 78A & 79A & 80A & 81A & 82A & 71B 72B 73B 74B 75B 76B 77B 78B 79B 80B 81B 82B (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 7 5 3 1 12 10 16 14 14 13 2 1 8 6 4 2 11 9 15 13 16 15 4 3 15 13 11 9 8 6 4 2 10 9 6 5 16 14 12 10 7 5 3 1 12 11 8 7 3 1 15 13 13 14 5 6 1 2 9 10 4 2 16 14 15 16 7 8 3 4 11 12 11 9 7 5 1 2 9 10 5 6 13 14 12 10 8 6 3 4 11 12 7 8 15 16 2 4 14 16 16 15 8 7 4 3 12 11 1 3 13 15 14 13 6 5 2 1 10 9 10 12 6 8 4 3 12 11 8 7 16 15 9 11 5 7 2 1 10 9 6 5 14 13 6 8 2 4 9 11 13 15 15 16 3 4 5 7 1 3 10 12 14 16 13 14 1 2 14 16 10 12 5 7 1 3 11 12 7 8 13 15 9 11 6 8 2 4 9 10 5 6

FIG. 13 is illustrated a 5×5×5 logic cube 121 with an isometric top face view 122, an isometric front-right face view 123, and an isometric front-left face view 124. The specific number on each cell on the FIG. 13 is shown in TABLE XIV which illustrates the particular cells located on specific rows.

TABLE XIV ROW 131A 132A 133A 134A 135A 136A 137A 138A 139A 140A 141A 142A (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 7 5 3 1 12 10 16 14 14 13 2 1 8 6 4 2 11 9 15 13 16 15 4 3 23 24 22 21 19 20 18 17 21 22 24 23 15 13 11 9 8 6 4 2 10 9 6 5 16 14 12 10 7 5 3 1 12 11 8 7 3 1 15 13 13 14 5 6 1 2 9 10 4 2 16 14 15 16 7 8 3 4 11 12 17 18 20 19 21 22 24 23 19 20 18 17 11 9 7 5 1 2 9 10 5 6 13 14 12 10 8 6 3 4 11 12 7 8 15 16

FIG. 14 is illustrated a 5×5×5 logic cube 121 with an isometric bottom face view 125, an isometric back-left face view 126, and an isometric back-right face view 127. The specific number on each cell on the FIG. 14 is shown in TABLE XV which illustrates the particular cells located on specific rows.

TABLE XV ROW 131B 132B 133B 134B 135B 136B 137B 138B 139B 140B 141B 142B (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 2 4 14 16 16 15 8 7 4 3 12 11 1 3 13 15 14 13 6 5 2 1 10 9 19 20 18 17 23 24 22 21 17 18 20 19 10 12 6 8 4 3 12 11 8 7 16 15 9 11 5 7 2 1 10 9 6 5 14 13 6 8 2 4 9 11 13 15 15 16 3 4 5 7 1 3 10 12 14 16 13 14 1 2 21 22 24 23 17 18 20 19 23 24 22 21 14 16 10 12 5 7 1 3 11 12 7 8 13 15 9 11 6 8 2 4 9 10 5 6

FIG. 15 is schematic view of a 5×5×5 logic cube 121, unfold to show all six faces view: top face view 122, front-right face view 123, front-left face view 124, bottom face view 125, back-left face view 126, and back-right face view 127.

A 5×5×5 solved logic cube is shown in FIG. 13, FIG. 14, and TABLE XVI which illustrates that twenty adjacent cells located on the adjacent rows will have twenty combination numbers between 1 to 25 (no two numbers are alike) for twelve of fifteen rows.

TABLE XVI ROW 131A & 132A & 133A & 134A & 135A & 136A & 137A & 138A & 139A & 140A & 141A & 142A & 131B 132B 133B 134B 135B 136B 137B 138B 139B 140B 141B 142B (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) (#) 7 5 3 1 12 10 16 14 14 13 2 1 8 6 4 2 11 9 15 13 16 15 4 3 23 24 22 21 19 20 18 17 21 22 24 23 15 13 11 9 8 6 4 2 10 9 6 5 16 14 12 10 7 5 3 1 12 11 8 7 3 1 15 13 13 14 5 6 1 2 9 10 4 2 16 14 15 16 7 8 3 4 11 12 17 18 20 19 21 22 24 23 19 20 18 17 11 9 7 5 1 2 9 10 5 6 13 14 12 10 8 6 3 4 11 12 7 8 15 16 2 4 14 16 16 15 8 7 4 3 12 11 1 3 13 15 14 13 6 5 2 1 10 9 19 20 18 17 23 24 22 21 17 18 20 19 10 12 6 8 4 3 12 11 8 7 16 15 9 11 5 7 2 1 10 9 6 5 14 13 6 8 2 4 9 11 13 15 15 16 3 4 5 7 1 3 10 12 14 16 13 14 1 2 21 22 24 23 17 18 20 19 23 24 22 21 14 16 10 12 5 7 1 3 11 12 7 8 13 15 9 11 6 8 2 4 9 10 5 6

FIG. 16 is illustrated a 2×2×2 logic cube 251 (solid and hollow dot cube cell) with an isometric top face view 252, an isometric front-right face view 253, and an isometric front-left face view 254.

FIG. 17 is illustrated a 2×2×2 logic cube 251 (solid and hollow dot cube cell) with an isometric bottom face view 255, an isometric back-left face view 256, and an isometric back-right face view 257.

FIG. 18 is schematic view of a 2×2×2 logic cube 251 (solid and hollow dot cube cell), unfold to show all six faces view: top face view 252, front-right face view 253, front-left face view 254, bottom face view 255, back-left face view 256, and back-right face view 257.

2×2×2 solved logic cube is shown in FIG. 16 and FIG. 17 which illustrates that any faces will have the two solid dots and two hollow dots with the same color on its

FIG. 19 is illustrated a 2×2×2 logic cube 261 (dot cube cell) with an isometric top face view 262, an isometric front-right face view 263, and an isometric front-left face view 264.

FIG. 20 is illustrated a 2×2×2 logic cube 261 (dot cube cell) with an isometric bottom face view 265, an isometric back-left face view 266, and an isometric back-right face view 267.

FIG. 21 is schematic view of a 2×2×2 logic cube 261 (dot cube cell), unfold to show all six faces view: top face view 262, front-right face view 263, front-left face view 264, bottom face view 265, back-left face view 266, and back-right face view 267.

2×2×2 solved logic cube is shown in FIG. 19 and FIG. 20 which illustrates that each cell on the same face has 1 dot, 2 dots, 3 dots and 4 dots for all six faces, and four adjacent cells located on the adjacent faces will have 1 dot, 2 dots, 3 dots and 4 dots on its cell.

FIG. 22 is illustrated a 2×2×2 logic cube 271 (shape cube cell) with an isometric top face view 272, an isometric front-right face view 273, and an isometric front-left face view 274.

FIG. 23 is illustrated a 2×2×2 logic cube 271 (shape cube cell) with an isometric bottom face view 275, an isometric back-left face view 276, and an isometric back-right face view 277.

FIG. 24 is schematic view of a 2×2×2 logic cube 271 (shape cube cell), unfold to show all six faces view: top face view 272, front-right face view 273, front-left face view 274, bottom face view 275, back-left face view 276, and back-right face view 277.

2×2×2 solved logic cube is shown in FIG. 22 and FIG. 23 which illustrates that all cells on the same face will have same kind of shape.

FIG. 25 is illustrated a 3×3×3 logic cube 281 (dot cube cell) with an isometric top face view 282, an isometric front-right face view 283, and an isometric front-left face view 284.

FIG. 26 is illustrated a 3×3×3 logic cube 281 (dot cube cell) with an isometric bottom face view 285, an isometric back-left face view 286, and an isometric back-right face view 287.

FIG. 27 is schematic view of a 3×3×3 logic cube 281 (dot cube cell), unfold to show all six faces view: top face view 282, front-right face view 283, front-left face view 284, bottom face view 285, back-left face view 286, and back-right face view 287.

3×3×3 solved logic cube is shown in FIG. 25 and FIG. 26 which illustrates that two opposite faces, face 282 and face 285; face 283 and face 287; face 284 and face 286, will have total of seven dots.

FIG. 28 is illustrated a 3×3×3 logic cube 291 (shape cube cell) with an isometric top face view 292, an isometric front-right face view 293, and an isometric front-left face view 294.

FIG. 29 is illustrated a 3×3×3 logic cube 291 (shape cube cell) with an isometric bottom face view 295, an isometric back-left face view 296, and an isometric back-right face view 297.

FIG. 30 is schematic view of a 3×3×3 logic cube 291 (shape cube cell), unfold to show all six faces view: top face view 292, front-right face view 293, front-left face view 294, bottom face view 295, back-left face view 296, and back-right face view 297.

3×3×3 solved logic cube is shown in FIG. 28 and FIG. 29 which illustrates that all cells on the same face will have same kind of shape. 

1. A three-dimensional logical 2×2×2 cube 1, FIGS. 1, 2 and 3, comprising: 8 visible cubic elements centrally connected to a central element, wherein the 8 each visible cubic elements comprise 8 corner cubic elements having three exposed square cells; each face has a 2×2 array with 2 rows and 2 columns of cells for a total of four square cells; twenty-four rotatable square cells for the logic cube; each vertex has three combination numbers between 1 to 4 (no two numbers are alike) for all eight vertices; each cell on the same face has a numerical value from 1 to 4 (no two numbers are alike).
 2. A three-dimensional logical cube of claim 1, wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4 (no two numbers are alike) for all six faces. Refer to FIGS. 1, 2 and
 3. 3. A three-dimensional logical cube of claim 1, wherein when successfully solved, four adjacent cells located on the adjacent faces will have number 1, 2, 3, 4 (no two numbers are alike). Refer to TABLE III and TABLE IV.
 4. A three-dimensional logical cube of claim 1, wherein the embodiment of 2×2×2 logic cube 1 is not mean to be limiting. There are many more possible numerical value arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of claim
 1. 5. A three-dimensional logical 3×3×3 cube 21, FIGS. 4, 5 and 6, comprising: 26 visible cubic elements centrally connected to a central element, wherein the 26 visible cubic elements comprise 8 corner cubic elements with three exposed square cells, 12 mid cubic elements with two exposed square cells, and 6 center face cubic elements with one exposed square cell; each face has a 3×3 array with 3 rows and 3 columns of cells for a total of nine square cells; fifty-four rotatable square cells for the logic cube; each vertex has three combination numbers between 1 to 12 (no two numbers are alike) for all eight vertices; each cell on the same face has nine combination numbers between 1 to 12 (no two numbers are alike).
 6. A three-dimensional logical cube of claim 5, wherein each vertex will have three combination numbers between 1 to 9 (no two numbers are alike) for all eight vertices; each cell on the same face has a numerical value from 1 to 9 (no two numbers are alike); an alternate embodiment, logical 3×3×3 cube 41, FIGS. 7, 8 and 9, to the logical cube of claim
 5. 7. A three-dimensional logical cube of claim 5, wherein when successfully solved, the numerical value on each face cube will have nine combination numbers between 1 to 12 (no two numbers are alike) for all six faces. Refer to FIGS. 4, 5 and
 6. 8. A three-dimensional logical cube of claim 5, wherein when successfully solved, twelve adjacent cells located on the adjacent four faces (rows 31A, 31B, 31C, 31D); (rows 32A, 32B, 32C, 32D); (rows 33A, 33B, 33C, 33D); (rows 34A, 34B, 34C, 34D); (rows 35A, 35B, 35C, 35D); (rows 36A, 36B, 36C, 36D); on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 (no two numbers are alike) for six of nine rows. Refer to TABLE VII.
 9. A three-dimensional logical cube of claim 6, wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9 (no two numbers are alike) for all six faces. Refer to FIGS. 7, 8 and
 9. 10. A three-dimensional logical cube of claim 6, wherein when successfully solved, nine adjacent cells located on the adjacent three faces (rows 51A, 51B, 51C); (rows 52A, 52B, 52C); (rows 53A, 53B, 53C); (rows 54A, 54B, 54C); (rows 55A, 55B, 55C); (rows 56A, 56B, 56C) on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9 (no two numbers are alike) for six of nine rows. Refer to TABLE X.
 11. A three-dimensional logical cube of claim 5 and claim 6, wherein the embodiment of 3×3×3 logic cube 21 and 41 are not mean to be limiting. There are many more possible numerical value arrangements for the logical cube will satisfy the claims in the preferred embodiment of the present invention, an alternate embodiment to logical cube of claim 5 and claim
 6. 12. A three-dimensional logical 4×4×4 cube 61, FIGS. 10, 11 and 12, comprising: 56 visible cubic elements centrally connected to a central element, wherein the 56 visible cubic elements comprise 8 corner cubic elements with three exposed square cells, 24 mid cubic elements with two exposed square cells, and 24 center face cubic elements with one exposed square cell; each face has a 4×4 array with 4 rows and 4 columns of cells for a total of sixteen square cells; ninety-six rotatable square cells for the logic cube; each vertex will have three combination numbers between 1 to 16 (no two numbers are alike) for all eight vertices; each cell on the same face has a numerical value from 1 to 16 (no two numbers are alike).
 13. A three-dimensional logical cube of claim 12, wherein each cell on the same face has different numerical pattern value from 1 to 16 (no two numbers are alike); an alternate embodiment, logical 4×4×4 cube 91, FIGS. 13, 14 and 15, to the logical cube of claim
 12. 14. A three-dimensional logical cube of claim 12, wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (no two numbers are alike) for all six faces. Refer to FIGS. 10, 11 and
 12. 15. A three-dimensional logical cube of claim 12, wherein when successfully solved, sixteen adjacent cells located on the adjacent four faces on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (no two numbers are alike) for all twelve rows. Refer to TABLE XIII.
 16. A three-dimensional logical cube of claim 13, wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (no two numbers are alike) for all six faces. Refer to FIGS. 13, 14 and
 15. 17. A three-dimensional logical cube of claim 13, wherein when successfully solved, sixteen adjacent cells located on the adjacent four faces on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (no two numbers are alike) for all twelve rows. Refer to TABLE XVI.
 18. A three-dimensional logical cube of claim 12 and claim 13, wherein the embodiment of 4×4×4 logic cube 61 and 91 are not mean to be limiting. There are many more possible numerical value arrangements for the logical cube will satisfy the claims in the preferred embodiment of the present invention, an alternate embodiment to logical cube of claim 12 and claim
 13. 19. A three-dimensional logical 5×5×5 cube 121, FIGS. 16, 17 and 18, comprising: 98 visible cubic elements centrally connected to a central element, wherein the 98 visible cubic elements comprise 8 corner cubic elements with three exposed square cells, 36 mid cubic elements with two exposed square cells, and 54 center face cubic elements with one exposed square cell; each face has a 5×5 array with 5 rows and 5 columns of cells for a total of twenty-five square cells; one-hundred fifty rotatable square cells for the logic cube; each vertex will have three combination numbers between 1 to 25 (no two numbers are alike) for all eight vertices; each cell on the same face has a numerical value from 1 to 25 (no two numbers are alike).
 20. A three-dimensional logical cube of claim 19, wherein each cell on the same face has different numerical pattern value from 1 to 25 (no two numbers are alike); an alternate embodiment, logical 5×5×5 cube 151, FIGS. 19, 20 and 21, to the logical cube of claim
 19. 21. A three-dimensional logical cube of claim 19, wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 (no two numbers are alike) for all six faces. Refer to FIGS. 16, 17 and
 18. 22. A three-dimensional logical cube of claim 19, wherein when successfully solved, twenty adjacent cells located on the adjacent four faces on the same row around the cube will have twenty combination numbers between 1 to 25 (no two numbers are alike) for twelve of fifteen rows. Refer to TABLE XIX.
 23. A three-dimensional logical cube of claim 20, wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 (no two numbers are alike) for all six faces. Refer to FIGS. 19, 20 and
 21. 24. A three-dimensional logical cube of claim 20, wherein when successfully solved, twenty adjacent cells located on the adjacent four faces on the same row around the cube will have twenty combination numbers between 1 to 25 (no two numbers are alike) for twelve of fifteen rows. Refer to TABLE XXII.
 25. A three-dimensional logical cube of claim 19 and claim 20, wherein the embodiment of 5×5×5 logic cube 121 and 151 are not mean to be limiting. There are many more possible numerical value arrangements for the logical cube will satisfy the claims in the preferred embodiment of the present invention, an alternate embodiment to logical cube of claim 19 and claim
 20. 26. A three-dimensional logical cube of claim 1, claim 5, claim 6, claim 12, claim 13, claim 19 and claim 20, wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have same color background.
 27. A three-dimensional logical cube of claim 26, wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have two colors background—one color for a group of three faces and another color for other group of three faces, an alternate embodiment to logical cube of claim
 26. 28. A three-dimensional logical cube of claim 26, wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have three colors background—one color for a group of two faces located adjacent or opposite, second color for other group of two faces located adjacent or opposite, and third color for other group of remaining two faces located adjacent or opposite, an alternate embodiment to the logical cube of claim
 26. 29. A three-dimensional logical cube of claim 26, wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have four colors background—one color for a group of three faces, second, third, and fourth colors for other three faces; one color for a group of two faces, second color for a second group of two faces, third, and fourth colors for other two faces, an alternate embodiment to the logical cube of claim
 26. 30. A three-dimensional logical cube of claim 26, wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have five colors background—one color for a group of two faces located adjacent or opposite, second, third, fourth, and fifth colors for other four faces, an alternate embodiment to the logical cube of claim
 26. 31. A three-dimensional logical cube of claim 26, wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have six colors background, an alternate embodiment to the logical cube of claim
 26. 32. A three-dimensional logical cube of claim 26, wherein each cell on all faces has combination of any colors background and has a difference number on each cell; an alternate embodiment to the logical cube of claim
 26. 33. A three-dimensional logical cube of claim 1, claim 5, claim 6, claim 12, claim 13, claim 19 and claim 20, wherein a numerical value on each cell on the cube is of any combination of different fonts type such as Times New Roman, Ariel or any other fonts; a numerical value on each cell is Roman numerals, Chinese numerals, Japanese numerals, Korean numerals, German numerals, French numerals, Latin numerals, or any other foreign numerals system.
 34. A three-dimensional logical cube of claim 1, wherein each vertex has three combination alphabets (no two alphabets are alike) for all eight vertices; each cell on the same face has a different alphabet on its cell (no two alphabets are alike), an alternate embodiment, logical 2×2×2 cube 181, FIGS. 22, 23 and 24, to the logical cube of claim
 1. 35. A three-dimensional logical cube of claim 34, wherein when successfully solved, all cells on the face will have different alphabets (no two alphabets are alike) and four adjacent cells located on the adjacent faces will have different alphabets (no two alphabets are alike). Similar solution as TABLE III and TABLE IV.
 36. A three-dimensional logical cube of claim 34, wherein the embodiment of 2×2×2 logic cube 181 is not mean to be limiting. There are many more possible alphabet arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of claim
 34. 37. A three-dimensional logical cube of claim 5, wherein each vertex has three combination alphabets (no two alphabets are alike) for all eight vertices; each cell on the same face has an alphabet on its cell (no two alphabets are alike), an alternate embodiment, logical 3×3×3 cube 191, FIGS. 25, 26 and 27, to the logical cube of claim
 5. 38. A three-dimensional logical cube of claim 37, wherein when successfully solved, all cells on the face will have different alphabets (no two alphabets are alike) and twelve adjacent cells located on the adjacent four faces on the same row around the cube will have different alphabets (no two alphabets are alike) for six of nine rows. Similar solution as TABLE VII.
 39. A three-dimensional logical cube of claim 37, wherein the embodiment of 3×3×3 logic cube 191 is not mean to be limiting. There are many more possible alphabet arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of claim
 37. 40. A three-dimensional logical cube of claim 12, wherein each vertex has three combination alphabets (no two alphabets are alike) for all eight vertices; each cell on the same face has a different alphabet on its cell (no two alphabets are alike), an alternate embodiment, logical 4×4×4 cube 201, FIGS. 28, 29 and 30, to the logical cube of claim
 12. 41. A three-dimensional logical cube of claim 40, wherein when successfully solved, all cells on the face will have different alphabets (no two alphabets are alike) and sixteen adjacent cells located on the adjacent four faces on the same row around the cube will have different alphabets (no two alphabets are alike). Similar solution as TABLE XIII.
 42. A three-dimensional logical cube of claim 40, wherein the embodiment of 4×4×4 logic cube 201 is not mean to be limiting. There are many more possible alphabet arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of claim
 40. 43. A three-dimensional logical cube of claim 19, wherein each vertex has three combination alphabets (no two alphabets are alike) for all eight vertices; each cell on the same face has a different alphabet on its cell (no two alphabets are alike), an alternate embodiment, logical 5×5×5 cube 211, FIGS. 31, 32 and 33, to the logical cube of claim
 19. 44. A three-dimensional logical cube of claim 43, wherein when successfully solved, all cells on the face will have different alphabets (no two alphabets are alike) and twenty adjacent cells located on the adjacent four faces on the same row around the cube will have different alphabets (no two alphabets are alike). Similar solution as TABLE XIX.
 45. A three-dimensional logical cube of claim 43, wherein the embodiment of 5×5×5 logic cube 211 is not mean to be limiting. There are many more possible alphabet arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of claim
 43. 46. A three-dimensional logical cube of claim 1, claim 5, claim 12 and claim 19, wherein cells on the same face have alphabets on its and comprise either a word, a phrase, or a crossword puzzle, an alternate embodiment, logical 2×2×2 cube 220, 3×3×3 cube 230, 4×4×4 cube 240, FIGS. 34, 35 and 36, to the logical cube of claim 1 claim 5, claim 12 and claim
 19. 47. A three-dimensional logical cube of claim 46, wherein when successfully solved, all cells on the face will comprise either a completed word, a completed phrase, or a completed crossword puzzle. Refer to FIG. FIGS. 34, 35 and
 36. 48. A three-dimensional logical cube of claim 34, claim 37, claim 40, claim 43 and claim 46, wherein an alphabet on each cell is Roman alphabet, Chinese alphabet, Japanese alphabet, Korean alphabet, German alphabet, French alphabet, Latin alphabet, or any other foreign alphabet.
 49. A three-dimensional logical cube of the preferred present invention can be of higher N×N×N order such as 6×6×6, or 7×7×7 having rotatable elements and numerial value or alphabet on each cell which will satisfy the claim in the preferred embodiment of the present invention. 